Answer
$40$
Work Step by Step
The number of ways in which a series of successive things can occur is found by multiplying the number of ways in which each thing can occur.
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1. The type of drink can be chosen in $2$ ways.
2. The size of the drink can be chosen in $4$ ways.
3. The flavor can be chosen in 5 ways.
Applying the Principle,
the total number of drinks is $2\times 4\times 5=40$